Compare 20/54 and 9/12
20/54 is smaller than 9/12
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 12 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 54 × 2 = 108,
20/54 = 20 × 2/54 × 2 = 40/108 - Likewise, for the 2nd fraction, since 12 × 9 = 108,
9/12 = 9 × 9/12 × 9 = 81/108 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/108 < 81/108 or 20/54 < 9/12
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